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mars1129 [50]
3 years ago
13

The Bookmark is an online bookseller. When books are purchased, the shipping fees are added to the price. The table shows how sh

ipping fees are calculated. Purchase Total Less than $20 $20-$34.99 $35-$49.99 Greater than $50 Shipping Fees 3% of total 4% of total 6% of total 8% of total Sonja bought 3 books priced at $11.35, $9.50, and $14.70. Part A Determine the shipping fees for Sonja's order. Round the answer to the nearest hundredth if necessary. $ Part B What is Sonja's total cost including shipping? IOT Ha E​

Mathematics
1 answer:
Masja [62]3 years ago
6 0

Answer:

2.13 à and 37.68 b hope this will give you a good grade

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a

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The graph of a quadratic function passes through the points (-1,0), (-2,0), and (0,2). Write the quadratic function in general f
ddd [48]

Answer:

f(x)=x^2+3x+2

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

f(x)=ax^2+bx+c

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

2=a(0)^2+b(0)+c

c=2

(-1,0)

For x=-1, y=0

substitute

0=a(-1)^2+b(-1)+2

0=a-b+2 ----> a=b-2 ----> equation A

(-2,0)

For x=-2, y=0

substitute

0=a(-2)^2+b(-2)+2

0=4a-2b+2 ----> equation B

we have the system

a=b-2 ----> equation A

0=4a-2b+2 ----> equation B

substitute equation A in equation B

0=4(b-2)-2b+2

solve for b

0=4b-8-2b+2

2b=6

b=3

Find the value of a

a=3-2=1

therefore

The quadratic function in general form is equal to

f(x)=x^2+3x+2

see the attached figure N 2 to better understand the problem

7 0
3 years ago
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